A variational characterization of 2-soliton profiles for the KdV equation
arXiv:2101.10574 · doi:10.4310/CMS.250412103136.
Abstract
We use profile decomposition to characterize 2-soliton solutions of the KdV equation as global minimizers to a constrained variational problem involving three of the polynomial conservation laws for the KdV equation.
References added, exposition improved, revised argument in section 5, results unchanged